Motion of Gas Bubbles in Intense Two-Frequency Sound Fields.
Abstract
The radial motion of gas bubbles in water driven by an intense sound field containing two closely spaced frequency components has been studied via numerical integration of the equation of motion. The small driving amplitude perturbation theory solution is developed for comparison with the numerical results. Emphasis is placed on the secondary frequency component at the difference of the driving frequencies which is generated by the nonlinear motion of the bubble. Cases where the natural resonance frequency of the bubble is much greater than, approximately equal to, and less than the driving frequencies are discussed. Acoustic driving pressures of 0.1 bar to 1.5 bar were used in an ambient pressure of 1.0 bar. The spectrum of the radial motions has been extensively examined and many examples are shown in this report. Agreement between perturbation theory predictions and the numerical integration is good for the first and second order terms up to driving pressures of 0.25 bar in all cases. All cases show many very narrow lines at the lower driving pressures. Broadband noise generated by collapsing bubbles eventually obscures these lines.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 12, 1978
- Accession Number
- ADA060959
Entities
People
- James R. Clynch
- Robert A. Altenburg
Organizations
- University of Texas at Austin